In: Statistics and Probability
The following table was presented in an article summarizing a study to compare a new drug to a standard drug and to a placebo. Characteristic* New Drug Standard Drug Placebo p Age, years 45.2 (4.8) 44.9 (5.1) 42.8 (4.3) 0.5746 % Female 51% 55% 57% 0.1635 Annual Income, $000s 59.5 (14.3) 63.8 (16.9) 58.2 (13.6) 0.4635 % with Insurance 87% 65% 82% 0.0352 Disease Stage 0.0261 Stage I 35% 18% 33% Stage II 42% 37% 47% Stage III 23% 51% 20% *Table entries and Mean (Sd. or % Are there any statistically significant differences in the characteristics shown among the treatments? Justify your answer
Answer:-
Given That:-
An article summarizing a study to compare a new drug to a standard drug and to a placebo.
Let level of significance = 0.05 (5%)
Two significant characteristics are there:-
* In this question only % with Insurance and Disease stage are significant.
* Because of these P values are less than significant level ( = 0.05).
* So, characteristics of these are significant.
% with Insurance 0.0352 < (0.05)
Disease stage 0.0261 < (0.05)
* Remaining characteristics are not significant because P values of these are greater than = 0.05.
Age years 0.5746 < 0.05 ( )
% female 0.1635 > 0.05 ()
Annual Income 0.4635 > 0.05 ().
So, these are not significant.
* Therefore % with Insurance and the Disease stage are significantly different between treatment groups.
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